Approximately 1 in 28 people of Ashkenazi Jewish descent are Tay-Sachs carriers. In randomly sampling one man and one woman from this population, what is the probability neither is a Tay-Sachs carrier? What is the probability both are carriers?
Answer:
a) probability that neither is Tay-Sachs carrier is 0.9298
b) the probability that both are carriers is 0.001276
Step-by-step explanation:
Given that;
1 in 28 people of Ashkenazi jewish descent are Tay-Sachs carrier.
so P(Carrier) = 1/28 =
also P( Not a carrier) = 1 - 1/28 = 0.9643
Now After Sampling 1 man and 1 woman from the population;
a)
the probability neither is Tay-Sachs carrier
P( Neither is a Carrier) = 27/28 × 27/28 = 0.9298
Therefore probability that neither is Tay-Sachs carrier is 0.9298
b)
the probability both are carriers
P( Both are Carriers) = 1/28 × 1/28 = 0.001276
Therefore the probability that both are carriers is 0.001276
Help! Will give brainliest!!
Answer:
1 no solution
2 5,1
3 7,-2
4 4,5
Step-by-step explanation:
Help! Will give brainliest.
Answer:
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FJI
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FREEEEEEEE POINTS
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
Step-by-step explanation:
Answer:
It would be C (I think)
The lines are parallel
Step-by-step explanation:
How do you do these two questions?
Answer:
(x − π)⁷ / 5040
(x − 1)³ / 16
Step-by-step explanation:
Taylor series expansion of a function is:
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ
where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.
For the first problem, f(x) = sin x and x₀ = π. We want the seventh degree term, so n = 7.
The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷
Find the seventh derivative of sin x:
f(x) = sin x
f⁽¹⁾(x) = cos x
f⁽²⁾(x) = -sin x
f⁽³⁾(x) = -cos x
f⁽⁴⁾(x) = sin x
f⁽⁵⁾(x) = cos x
f⁽⁶⁾(x) = -sin x
f⁽⁷⁾(x) = -cos x
Evaluated at π, f⁽⁷⁾(x) = 1. So the seventh degree term is (x − π)⁷ / 5040.
For the second problem, f(x) = √x and x₀ = 1. We want the third degree term, so n = 3.
The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³
Find the third derivative of √x:
f(x) = √x
f⁽¹⁾(x) = ½ x^-½
f⁽²⁾(x) = -¼ x^-³/₂
f⁽³⁾(x) = ⅜ x^-⁵/₂
Evaluated at 1, f⁽³⁾(x) = ⅜. So the third degree term is (x − 1)³ / 16.
Find the equatios of the tangents to the curve xy=6 which are parallel to the line 2y+3x=0
y=-3x/2
because gradient =-3/2
and u must use formula (y-y1) = m(x-x1)
A researcher wants to test the relationship between SAT scores and high school GPA. What statistic should be used
Answer: Pearson correlation statistic
Step-by-step explanation:
The Pearson Correlation statistic is used to measure linear association. It simply measures the statistical relationship that exists between two variables that are continuous. Information about both the magnitude and the direction are being provided by the Pearson Correlation statistic.
Since both the SAT scores and the high school GPA has to do with numbers, we are going to use Pearson correlation statistic. Spearman correlation are used for ranking.
The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.
Find the probability that an egg has an incubation period between 328 and 338 hours.
Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.
Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.
Answer:
a) 0.705015
b) 0.13424
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.
a) Find the probability that an egg has an incubation period between 328 and 338 hours.
For x = 328
z = 328 - 336/3.5
z = -2.28571
Probability value from Z-Table:
P(x = 328) = 0.011135
For x = 338
z = 338 - 336/3.5
z = 0.57143
Probability value from Z-Table:
P(x = 338) = 0.71615
The probability that an egg has an incubation period between 328 and 338 hours.
P(x = 338) - (P(x = 328)
0.71615 - 0.011135
= 0.705015
b) Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.
We are given a sample of 15 wren eggs,
We use this z score formula
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation
n is random number of samples
z = 337 - 336/3.5/√15
z = 1.10657
Probability value from Z-Table:
P(x<337) = 0.86576
P(x>337) = 1 - P(x<337) = 0.13424
Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.
Analyze the graph of the function f(x) to complete the statement.
Answer:
Step-by-step explanation:
What they are asking for here is where the y-values are negative in interval format. Intervals are x things only, no y's allowed. So the interval of (-infinity, -3) indicates an x value of negative infinity to an x value of -3. The y's are negative from an x value of negative infinity to an x-value of -3, then again from an x value of almost -1 to an x value of almost positive 1. So your choice is the last one listed there.
PLS HELP, I am literally in tears. +28 points and brainliest for the person to answer this correctly.
Answer:
All we need to do is find the value of x to solve:
14x+6/3=-8+4x
14x+6=-24+12x
2x+6=-24
2x=-30
x=-15
-3x^2-7
-3(-15^2)-7
-3(225)-7
-675-7
-682
Step-by-step explanation:
Marcos sees a cake advertised as $15 or 2 for $25. What is the difference of the unit rate?
A. 2.50
B. 4.25
C. 10
D. 13
PLEASE HELLP ME FAST
Answer:
A. 2.50
Step-by-step explanation:
25 ÷ 2 = 12.5
15 - 12.5 = 2.50
Please help ASAP!!
What is the sum of the square root of 676 and square of 24
Step-by-step explanation:
square root of 676 is equal to 26
square of 24 is equal to 576
576+26 = 602
Step-by-step explanation:
[tex] \sqrt{676 } = 26[/tex]
[tex] {24}^{2} = 576[/tex]
576+26=602
PLEASE ANSWER FIFTY POINTS AND BRAINLIEST!
Sketch the graph y=− |x−1|+3 and answer the questions:
b)
What are the coordinates of its vertex?
c)
What are the coordinates of x- intercepts? (theres two)
Answer: The picture I showed is the sketch of the graph y=-|x-1|+3
b) The coordinates for the vertex is (1,3)
c) One of the coordinates for the x intercepts is (-2,0)
The other is (4,0)
Step-by-step explanation:
b)The vertex is the point I showed in the picture. It's where the graph moves in the opposite direction
c) The coordinates for the intercepts can be determined where the graph hits the x axis. At -2, the graph hits the x axis and at 4 the graph hits the x axis.
X intercepts always have a 0 for its y value of the coordinate. Therefore the coordinates are (-2,0) and (4,0)
Evaluate 10,5p + 9,71 when p = 6 and r=7
10.5() +9,7
467.9
10.50 +97([] = []+679
The cost of 5 pens is $140.50. What is the cost of 1 pen?
Answer:
28.1
Step-by-step explanation:
140.50/5
These are some expensive pens
Answer:
$28.1
Step-by-step explanation:
Divide
140.50 divided by 5 = 28.1
(That's an expensive pen)
Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
x = 18
y = 54°
Step-by-step explanation:
m<MON = 90° (given)
m<MOA = 72° (given)
m<AON + m<MOA = m<MON (Angle Addition Postulate)
m<AON + 72° = 90° (Substitution)
Subtract 72° from each side
m<AON = 90° - 72°
m<AON = 18°
m<AOD = 18° + 2x
m<BOC = 3x
m<AOD = m<BOC (vertical angles)
18 + 2x = 3x (Substitution)
Subtract 2x from each side
18 = 3x - 2x
18 = x
x = 18.
72° + y + 3x = 180° (angles on a straight line)
Plug in the value of x
72 + y + 3(18) = 180
72 + y + 54 = 180
126 + y = 180
Subtract 126 from both sides
y = 54
Find the value of x that will make A||B.
А
B
4x
2x
x = [?]
Answer:
x = 30Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
If ∠ + ∠ = 180° and ∠ ≅ ∠, what can you conclude about ∠ and ∠?
Answer:
both ∠=90
Step-by-step explanation:
180/2=90
Complete the table
f(x) = -2x - 8
Х
f(x)
-9
-6
-5
-1
1
1. Choose the correct answer for the following equation:
106
=
10
60
1,000,000
6,000,000
Answer:
1000000
Step-by-step explanation:
randy has 30 rooms to clean in his house he completes 1/2 of cleaning his room in 3/4 of a hour if he continues at this rate what fraction of the room will be completed in one hour.
Answer:
randys life kinda stinks
Step-by-step explanation:
5/8 hope it helps
How long does it take for an investment to double its value if the interest is 7.25%
compounded continuously?
Answer: 9.9 years
Step-by-step explanation:
We have an interest of 7.25%, compounded continuously, we can write this as:
P = A*e^(r*n)
where:
P is the total balance after n years.
A is the initial investment.
r is the ratio of increase, in the case of a continuous compound, this will be:
r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070
n is the time in years.
Then we want to have our initial investement doubled, this means:
P = 2*A
let's find n for this situation:
P = 2*A = A*e^(0.070*n)
2 = e^(0.070*n)
Now we can apply the Ln() to both sides, remember that:
Ln(e^x) = x
Then:
2 = e^(0.070*n)
Ln(2) = Ln(e^(0.070*n)) = 0.070*n
Ln(2)/0.070 = 9.9
So we need 9.9 years to double the initial investment.
Given f (x) = 6 (1- x), what is the value of f (-5)?
Answer: 36
Step-by-step explanation:
1) substitute x for 6
get f(-5)=6(1--5)= 6+30=46
Answer:
f(-5)=6(1-(-)5) f(-5)=6×6
f(-5)=36 Hope this will be helpful
A car travels 6 meters in 3 seconds.Then it stops for 5 seconds.Then it travels 2 meters in two seconds
PLS ANSWER
Answer:
it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.
What is the seventh term of (x-y) ^ 8 ?
Answer:
-8xy^7
Step-by-step explanation:
GUYS, I GOTM 1MILLIO0N DOLARS IN THE STOCK MAARKAT HOW MUCH IS 1 MILLION DOLLARS IN NE GOTIABLE US CUERENCY CONVERTED TO RUSSIAN RUBELS????/// PLS ILL GIV BRANLEST!11
Hi! I believe your answer is 77,435,300.00 Russian Rubles, which is equivalent to 1,000,000 U.S. dollars. I hope this helps you! Good luck and have a great day. ❤️✨
Answer:
76,922,200.00 RUB
Step-by-step explanation:
wow how in the heck did you do that 0-o your rich dude pls explain how u did it T-T
Worth 75 points!! Need help with calculus
Hiking up a mountain, you notice that the air temperature drops 10°C for every 1,000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3,000 meters. Then evaluate the expression and explain its meaning.
Answer:
30,000
Step-by-step explanation:
What is mZDAR in circle A?
R
B
340
D
B
A
A 56°
B 340
C 68°
D 170
Answer:
68°
Step-by-step explanation:
Since, angle subtended on the circumference of the circle is half angle subtended on the center of the circle.
[tex] \therefore m\angle DBR = \frac{1}{2} \times m\angle DAR\\\\
\therefore 34\degree = \frac{1}{2} \times m\angle DAR\\\\
\therefore 34\degree \times 2= m\angle DAR\\\\
\therefore 68\degree = m\angle DAR\\\\
\therefore m\angle DAR=68\degree[/tex]
5a + 2r = 12 rewrite this equation!!
I will put it in standard form,
5a + 2r = 12
It becomes
5a + 2r - 12 = 0
brainlist asap!
___________
find the interest rate:
principal: $500
interest: $60
time: 3 years
Answer:
Describe Europe's Mediterranean Climate.
Describe Europe's Mediterranean Climate.
Describe Europe's Mediterranean Climate.